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Problemas populares

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Problemas populares de Cálculo

derivada de (x+4^3(x-3)^6)	\frac{d}{dx}((x+4)^{3}(x-3)^{6})
límite cuando x tiende a 4 de 2-sqrt(x)	\lim\:_{x\to\:4}(2-\sqrt{x})
tangent y=3x-7sqrt(x)	tangent\:y=3x-7\sqrt{x}
derivative sqrt(x+4y)+sqrt(2xy)	derivative\:\sqrt{x+4y}+\sqrt{2xy}
integral de 4x+10	\int\:4x+10dx
y^'-4y=-3e^{3t},y(0)=9	y^{\prime\:}-4y=-3e^{3t},y(0)=9
integral de-1/2 e^{-3x}	\int\:-\frac{1}{2}e^{-3x}dx
límite cuando x tiende a 0 de (-cos(x))/x	\lim\:_{x\to\:0}(\frac{-\cos(x)}{x})
integral de-x+6	\int\:-x+6dx
integral de ((e^{3x})/3+3x*2^{x^2}-x^4)	\int\:(\frac{e^{3x}}{3}+3x\cdot\:2^{x^{2}}-x^{4})dx
derivada de cos(sqrt(6x+11))	\frac{d}{dx}(\cos(\sqrt{6x+11}))
derivada de tan(x+1)	\frac{d}{dx}(\tan(x)+1)
derivative y= 2/(e^x)	derivative\:y=\frac{2}{e^{x}}
límite cuando x tiende a 7 de 7^x+12(x)	\lim\:_{x\to\:7}(7^{x}+12(x))
(\partial)/(\partial y)(100e^{-x-2y})	\frac{\partial\:}{\partial\:y}(100e^{-x-2y})
integral de ((-1)^nx^{2n})/(n!)	\int\:\frac{(-1)^{n}x^{2n}}{n!}dx
integral de xe^{x^2}	\int\:xe^{x^{2}}dx
integral de (2x^2-5x-2)/((x-2)^2(x-1))	\int\:\frac{2x^{2}-5x-2}{(x-2)^{2}(x-1)}dx
tangent f(x)=sqrt(5x+30),\at x=-1	tangent\:f(x)=\sqrt{5x+30},\at\:x=-1
límite cuando x tiende a-1+de \|x\|-3	\lim\:_{x\to\:-1+}(\left\|x\right\|-3)
integral de-1 a 1 de (x^{100})	\int\:_{-1}^{1}(x^{100})dx
derivada de sqrt(3)x^2	\frac{d}{dx}(\sqrt{3}x^{2})
(\partial)/(\partial x)((xy)/(x^2+z^2))	\frac{\partial\:}{\partial\:x}(\frac{xy}{x^{2}+z^{2}})
derivada de (-8x+2/(3x+5))	\frac{d}{dx}(\frac{-8x+2}{3x+5})
límite cuando x tiende a-13 de-12	\lim\:_{x\to\:-13}(-12)
f(x)=(x^3+2)/3	f(x)=\frac{x^{3}+2}{3}
tangent 4/x ,\at x=3	tangent\:\frac{4}{x},\at\:x=3
inversalaplace (s^2+1)/(s+5)	inverselaplace\:\frac{s^{2}+1}{s+5}
integral de (10800)/(9q^2+675)	\int\:\frac{10800}{9q^{2}+675}dq
integral de xsin(1/3 x)	\int\:x\sin(\frac{1}{3}x)dx
(\partial)/(\partial x)(z*arctan(y/x))	\frac{\partial\:}{\partial\:x}(z\cdot\:\arctan(\frac{y}{x}))
tangent y=x^2,(1,1)	tangent\:y=x^{2},(1,1)
tangent 6x-x^2	tangent\:6x-x^{2}
inversalaplace ((3+3s))/(s^2+0.5)	inverselaplace\:\frac{(3+3s)}{s^{2}+0.5}
derivative ((cos(x)))/(1-sin(x))	derivative\:\frac{(\cos(x))}{1-\sin(x)}
derivative 2/(sqrt(x+3))	derivative\:\frac{2}{\sqrt{x+3}}
derivative 18(4e^{x^2}x^3+6e^{x^2}x)	derivative\:18(4e^{x^{2}}x^{3}+6e^{x^{2}}x)
(\partial)/(\partial w)(usqrt(v-w))	\frac{\partial\:}{\partial\:w}(u\sqrt{v-w})
integral de e^{3ln(x)}	\int\:e^{3\ln(x)}dx
derivative 12xe^{-x}	derivative\:12xe^{-x}
serie de n=1 a infinity de n/(2n+5)	\sum\:_{n=1}^{\infty\:}\frac{n}{2n+5}
inversalaplace 1-tan((xpi)/2)	inverselaplace\:1-\tan(\frac{xπ}{2})
derivada de 6x^3cot(x)	\frac{d}{dx}(6x^{3}\cot(x))
pendiente (2.4)(6.11)	slope\:(2.4)(6.11)
derivada de (5x+3^4)	\frac{d}{dx}((5x+3)^{4})
(\partial)/(\partial y)(9e^xcos(yz))	\frac{\partial\:}{\partial\:y}(9e^{x}\cos(yz))
(f(x)e^{g(x)})'	(f(x)e^{g(x)})\prime\:
derivada de sqrt(x)-x	\frac{d}{dx}(\sqrt{x}-x)
(d^3)/(dx^3)(e^{2x})	\frac{d^{3}}{dx^{3}}(e^{2x})
límite cuando x tiende a 0 de (1-x)/(x^2)	\lim\:_{x\to\:0}(\frac{1-x}{x^{2}})
y^{''}+4y=20	y^{\prime\:\prime\:}+4y=20
integral de 5x-sqrt(x)	\int\:5x-\sqrt{x}dx
(\partial)/(\partial x)(sqrt(4x^2+2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{4x^{2}+2y^{2}})
xy^'+2y=-4e^x	xy^{\prime\:}+2y=-4e^{x}
derivada de-8sqrt(x)	\frac{d}{dx}(-8\sqrt{x})
límite cuando x tiende a 0+de 0	\lim\:_{x\to\:0+}(0)
derivative xsqrt(7-x^2)	derivative\:x\sqrt{7-x^{2}}
integral de (18x+2)	\int\:(18x+2)dx
integral de 0 a 2 de 2/(y^2+y-20)	\int\:_{0}^{2}\frac{2}{y^{2}+y-20}dy
derivative f(x)=-8x^3	derivative\:f(x)=-8x^{3}
integral de (x^2+7x+1)/((x^2+1)^2)	\int\:\frac{x^{2}+7x+1}{(x^{2}+1)^{2}}dx
(\partial)/(\partial y)(2xy^4-3)	\frac{\partial\:}{\partial\:y}(2xy^{4}-3)
integral de (x+2)/(x^2+5x-6)	\int\:\frac{x+2}{x^{2}+5x-6}dx
integral de 0 a 1 de x^2x	\int\:_{0}^{1}x^{2}xdx
derivative x/(x^2-7)	derivative\:\frac{x}{x^{2}-7}
integral de (x^4-x^2+1/(x^3)-1/(x^2))	\int\:(x^{4}-x^{2}+\frac{1}{x^{3}}-\frac{1}{x^{2}})dx
integral de 3+2xy	\int\:3+2xydx
derivative y=-2x-4	derivative\:y=-2x-4
derivada de (Ax+B/(sqrt(4-x)))	\frac{d}{dx}(\frac{Ax+B}{\sqrt{4-x}})
serie de n=1 a infinity de 3/(n!)	\sum\:_{n=1}^{\infty\:}\frac{3}{n!}
(\partial)/(\partial x)(4xy^2)	\frac{\partial\:}{\partial\:x}(4xy^{2})
límite cuando x tiende a 3 de sqrt(9-9)	\lim\:_{x\to\:3}(\sqrt{9-9})
(\partial)/(\partial x)((xy)/(x^2-y^2))	\frac{\partial\:}{\partial\:x}(\frac{xy}{x^{2}-y^{2}})
(\partial}{\partial x}(\frac{ayx^2z)/2)	\frac{\partial\:}{\partial\:x}(\frac{ayx^{2}z}{2})
integral de (x^4+x^2)	\int\:(x^{4}+x^{2})dx
límite cuando x tiende a 0 de 2/(e^x+1)	\lim\:_{x\to\:0}(\frac{2}{e^{x}+1})
integral de csc(3/4 x)cot(3/4 x)	\int\:\csc(\frac{3}{4}x)\cot(\frac{3}{4}x)dx
serie de n=1 a infinity de 3/(n(n+2))	\sum\:_{n=1}^{\infty\:}\frac{3}{n(n+2)}
(\partial)/(\partial x)(-4sin(3x))	\frac{\partial\:}{\partial\:x}(-4\sin(3x))
límite cuando x tiende a (3pi)/2+de sec(x)	\lim\:_{x\to\:\frac{3π}{2}+}(\sec(x))
(\partial)/(\partial x)(x/(x^3y^6))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{3}y^{6}})
derivada de xcos(x+pi)	\frac{d}{dx}(x\cos(x)+π)
y^{''}-2y^'-3y=-5te-t	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=-5te-t
derivative sqrt(3x+5)	derivative\:\sqrt{3x+5}
y^'+6(tan(6x))y=4cos(6x)	y^{\prime\:}+6(\tan(6x))y=4\cos(6x)
integral de sin(x)e^{-2x}	\int\:\sin(x)e^{-2x}dx
integral de (5x^3+7x+2)/(x^4+9x^2)	\int\:\frac{5x^{3}+7x+2}{x^{4}+9x^{2}}dx
inversalaplace 2/((s+1)(s+2))	inverselaplace\:\frac{2}{(s+1)(s+2)}
(\partial)/(\partial u)(sin^2(u))	\frac{\partial\:}{\partial\:u}(\sin^{2}(u))
tangent 18cos(x)+9sin(2x)	tangent\:18\cos(x)+9\sin(2x)
(dy)/(dx)=(x-a)/(y-b)	\frac{dy}{dx}=\frac{x-a}{y-b}
integral de 0 a 4pi de sqrt(1/2)	\int\:_{0}^{4π}\sqrt{\frac{1}{2}}
serie de n=1 a infinity de (n^2)/(6^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{6^{n}}
normal y=7xe^x,(0,0)	normal\:y=7xe^{x},(0,0)
derivative y=sqrt(1/(t(8t+1)))	derivative\:y=\sqrt{\frac{1}{t(8t+1)}}
área 2x^2,5x-3x^2	area\:2x^{2},5x-3x^{2}
y^'=(1-7x)y^2	y^{\prime\:}=(1-7x)y^{2}
derivada de \sqrt[3]{2}	\frac{d}{dx}(\sqrt[3]{2})
integral de tan^5(2x)	\int\:\tan^{5}(2x)dx
integral de-1 a 2 de (x^3-2x)	\int\:_{-1}^{2}(x^{3}-2x)dx

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